33542168129 has 2 divisors, whose sum is σ = 33542168130. Its totient is φ = 33542168128.

The previous prime is 33542168089. The next prime is 33542168147. The reversal of 33542168129 is 92186124533.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20800273729 + 12741894400 = 144223^2 + 112880^2 .

It is a cyclic number.

It is not a de Polignac number, because 33542168129 - 2¹⁶ = 33542102593 is a prime.

It is a super-2 number, since 2×33542168129² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33542168129.

It is not a weakly prime, because it can be changed into another prime (33542168629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16771084064 + 16771084065.

It is an arithmetic number, because the mean of its divisors is an integer number (16771084065).

Almost surely, 2^33542168129 is an apocalyptic number.

It is an amenable number.

33542168129 is a deficient number, since it is larger than the sum of its proper divisors (1).

33542168129 is an equidigital number, since it uses as much as digits as its factorization.

33542168129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 311040, while the sum is 44.

The spelling of 33542168129 in words is "thirty-three billion, five hundred forty-two million, one hundred sixty-eight thousand, one hundred twenty-nine".